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Finding the Third Proportional to 101,651 and 222,928

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Solution

The third proportional to 101,651 and 222,928 is: 488,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,651 : 222,928 = 222,928 : x
  2. Step 2: Convert to fraction form
    101,651/222,928 = 222,928/x
  3. Step 3: Cross multiply
    101,651x = 222,928 × 222,928
  4. Step 4: Simplify right side
    101,651x = 49,696,893,184
  5. Step 5: Solve for x
    x = 49,696,893,184/101,651
  6. Step 6: Final answer
    x = 488,897.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.